论文标题
量子皮大厅效果
The Quantum Skin Hall Effect
论文作者
论文摘要
皮肤效应是非炎性系统独有的，可以在开放的几何形状中产生大量位于边界附近的特征状态。在这里，我们提出，除了电荷密度外，其他数量在2D和3D中也容易受到皮肤效应的影响。我们表明，在拓扑绝缘子和皮肤效应系统之间是杂种的2D和3D模型可以具有拓扑皮肤效应，其中大量拓扑模式以及相应的散装拓扑不变性被固定在表面上。一个关键的例子，我们称之为量子皮大厅的效果是由Chern绝缘子层构成的，并表现出广泛的霍尔电导和手性模式的数量，与与层叠层的表面结合在一起。相同的过程将进一步扩展到其他对称类别，以说明各种一维和2D拓扑不变的（$ \ Mathbb {Z} $或$ \ Mathbb {z} _2）$受到皮肤效应。确实，我们还提出了一个混合2D系统，该系统表现出大量的拓扑角模式，并且在元材料实验中可能更容易实现。
The skin effect, which is unique to non-Hermitian systems, can generate an extensive number of eigenstates localized near the boundary in an open geometry. Here we propose that in 2D and 3D other quantities besides charge density are susceptible to the skin effect. We show that 2D and 3D models that are a hybrid between topological insulators and skin-effect systems can have a topological skin effect where an extensive number of topological modes, and the corresponding bulk topological invariant, are pinned to the surface. A key example, which we call the quantum skin Hall effect is constructed from layers of Chern insulators and exhibits an extensive Hall conductance and number of chiral modes bound to surfaces normal to the stack of layers. The same procedure is further extended to other symmetry classes to illustrate that a variety of 1D and 2D topological invariants ($\mathbb{Z}$ or $\mathbb{Z}_2)$ are subject to the skin effect. Indeed, we also propose a hybrid 2D system that exhibits an extensive number of topological corner modes and may be more easily realized in meta-material experiments.
